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Answer:
x=1
Step-by-step explanation:
Hi there!
We are given that a line is perpendicular to y = -6 and passes through the point (1, 3)
We want to write the equation of this line in slope-intercept form
Slope-intercept form is y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name
First, we need to find the slope (m) of the line
Remember that we were given that the line is perpendicular to y = -6
Perpendicular lines have slopes that multiply to get -1
The slope of y = -6 is 0; therefore, to find the slope of this line, we can do the following equation
0m=1
Divide both sides by 0
m = 1/0
This answer is undefined - therefore, the line has an undefined slope
If this is the case, then it means the line is a vertical line
A vertical line is written as x=k, where k is the value of x at the x intercept. It can't be written in slope-intercept form.
This value is also the value of x at every point that lies on such line - in this case, as given by the point (1, 3) , this value is 1
So substitute 1 as k.
x = 1
This is the line of the equation.
Hope this helps!